We present high-resolution echelle spectroscopy of 676 nearby M dwarfs. Our measurements include radial velocities, equivalent widths of important chromospheric emission lines, and rotational velocities for rapidly rotating stars. We identify several distinct groups by their Hα properties, and investigate variations in chromospheric activity amongst early (M0-M2.5) and mid (M3-M6) dwarfs. Using a volume-limited sample together with a relationship between age and chromospheric activity, we show that the rate of star formation in the immediate Solar Neighbourhood has been relatively constant over the last 4 Gyr. In particular our results are inconsistent with recent large bursts of star formation. We use the correlation between Hα activity and age as a function of colour to set constraints on the properties of L and T dwarf secondary components in binary systems. We also identify a number of interesting stars, including rapid rotators, radial velocity variables, and spectroscopic binaries.1 Observations were made at the 60-inch telescope at Palomar Mountain which is jointly owned by the California Institute of Technology and the Carnegie Institution of Washington -4were increased to as much as 1800 seconds.Data were extracted using the FIGARO echelle software (Tomaney & McCarthy, private communication). Wavelength calibration was determined from a 300-second exposure of a Th-Ar lamp taken at the beginning of each night. After each observation of a target star, a short (45 second) exposure of the arc lamp was taken at the same telescope position in order to remove instrumental flexure. The spectra were not flux calibrated.
Radial VelocitiesRadial velocities were determined by cross-correlation against reference M dwarfs from Marcy & Benitz (1989 -MB89). The latter velocities are accurate to better than 0.23 kms −1 , a factor of five higher than the accuracy of our own observations (as discussed further below). For the bright, early M dwarfs (TiO5> 0.5) we used the standard echelle FIGARO cross-correlation program. Each order was correlated with the velocity standards, and the average radial velocity from all the orders was determined. The arc lamp exposures, taken adjacent to each program star observation, were also cross-correlated, providing a correction for flexure. This procedure did not provide reliable velocities for faint, late-type M dwarfs. The lower signal-to-noise at blue wavelengths led to a higher potential for bias from the effects of telluric absorption and night sky lines. We were able to obtain reasonable results for those stars by individually computing the cross-correlation for each order and combining those measurements to find the median radial velocity. This procedure was used for all stars with TiO5≤ 0.5. Figure 1 plots the rms dispersion about the mean radial velocity for all M dwarfs with at least four measurements. The distribution suggests a typical internal accuracy of 1.5 kms −1 .We can determine our external errors by comparison with previous high accuracy velocity studies of M dwarfs....